The Cantilever beam ABC in figure below (a) consist of two segment AB and 21, for segment BC. Segment AB caries a uniformly distributed load of intensity 200 lb/ft. Using E = 10 x 10°psi and I, = 40 in“, determine the maximum displacement of the beam. 200 lb/ft В C A 210 6 ft 4 ft

The Cantilever beam ABC in figure below (a) consist of two segment AB and 21, for segment BC. Segment AB caries a uniformly distributed load of intensity 200 lb/ft. Using E = 10 x 10°psi and I, = 40 in“, determine the maximum displacement of the beam. 200 lb/ft В C A 210 6 ft 4 ft

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.5.5P: A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and...

See similar textbooks

Related questions

Q: A simply supported beam with span of 8 m is subjected to a counterclockwise moment at the left…

A: Given Data The length of the beam is:L=8m The yield strength of the steel beam is:Fy=248 MPa The…

Q: H.W 3_ Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in…

Q: A cantilever beam ACB supports two concentrated loads P, and P2, as shown in the following figure.…

A: Draw a diagram for the problem. Here, x is the distance of the cross-section at which the bending…

Q: 3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m,…

Q: A plastic beam has a cross section with dimensions of a = 4.7 in., b = 16.5 in., d = 9.4 in., and t…

Q: Q4/ For the beam shown in Fig.2, if the modulus of elasticity (E) equal to 200 GPa, by using Moment-…

A: A moment is a movement of the body when a body is rotating on an axis. The moment is also known as…

Q: A cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of…

A: The given values are - P= 8kN , b= 110 mm ,h= 190 mm , L= 5m

Q: Q4/ For the beam shown in Fig.2, if the modulus of elasticity (E) equal to 200 GPa, by using Moment-…

Q: The slope at end of the point A (ii) The deflection at point C

Q: 10 kN/m |2m 2m 2m 6m 6m 2. A compound beam is pin connected at E and Fas shown above. a. Determine…

A: For solution refer below images.

Q: The cantilever beam AC shown in the figure is subjected to a load 1kN at the end A, and an in-plane…

Q: iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") =

Q: Consider a fixed beam under uniformly distributed load 'w' as shown in the figure below: w A B…

A: Data given -

Q: 2. A cantilever beam AB of isosceles trapezoidal cross section has length L = 0.8 m, dimensions b, =…

A: Part A) Find the maximum moment due to beams' weight.

Q: A cantilever beam of length L1= 250 mm, L2= 250 mm, and L3= 300 mm supports two loads of P1 = 4 kN…

Q: Consider the following uniformly loaded simple beam. The beam has a span length L = 2.5 m, the load…

Q: Maximum bending moment: A simply supported rectangular beam that is 3000 mm long supports a point…

A: Write the given data. P=5000 NL=3000 mmb=127 mmh=254 mmd=254 mm

Q: Q/ For the beam shown in the figure below, find deflection and rotation at point B. EI=12000 kN.m2.…

Q: 2. Curved block ABC, AB = parabolic curve and BC is straight in the horizontal direction. Point B is…

A: The Curved block ABC, AB = parabolic curve and BC is straight in the horizontal direction. Point B…

Q: A small dam of height h=2.0m is constructedof vertical wood beams AB of thickness t =120 mm,as shown…

A: Given Weight density, Y = 9.81 kN/m3 Thickness, t = 120 mm Height, h = 2…

Q: Using area-moment method, determine the maximum displacement of the cantilever beam ABC which has…

A: Answer: The maximum displacement of the cantilever beam ABC: 35 mm

Q: The beam with triangular section L = 180 cm long shown in the figure is forced to bend with a…

A: Given: Maximum stress is 3600 daN/cm2. q=4.5 daN/cm Length of the beam is 180 cm. b=6 cm Factor of…

Q: A beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional…

Q: The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the…

Q: A beam ABCD rests on simple supports at B and C. The beam has a slight initial curvature so that end…

Q: A simply supported beam is loaded as shown in the figure. Determine the slope and deflection at the…

Q: A cantilever beam AB with rectangular crosssections of a constant width b and varying height hx…

A: Given data: The uniformly distributed load over the beam is q The width of the beam is b Consider at…

Q: A beam of rectangular cross section 50mm wide and 80mm deep is loaded as shown in Fig:(3.18).…

A: Consider upward force & CW moment as (+)ve and downward force & CCW moment as (-)ve. Let…

Q: A simply supported beam AB has a length of 3 m and carries distributed load which varies in linear…

A: Simply supported beam Simply supported beam is the beam in which beam is simply supported at both…

Q: For the simply supported beam in figure, the shear force at midspan equals: 80 kN 80 kN 2 4 m Select…

A: Given, External force = 80 kN

Q: A fiberglass pipe is lifted by a sling, as shown in the figure. The outerdiameter of the pipe is 6,0…

A: Given data as per question Outer diameter of pipe =6 in thickness=0.25 in weight density =0.053…

Q: H.W Draw shear force digam and bending moment digram for the following beam 300 N 500 N 800 N to 0.5…

A: Given: The load is 300 N, 500 N, and 800 N. The distance from point A is 0.5 m, 1.2 m, and 2 m.

Q: 4. For the beam shown in the figure determine the following: (El = constant) a. value of El0 at A b.…

A: The movement of a beam or node from its original position is referred to as deflection in structural…

Q: Q1 A cantilever beam AB of isosceles trapezoidal cross section has length L = 0.8 m, dimension bi =…

A: For solution refer below images.

Q: 9 A rectangular cross section beam of width 0.25 m and depth 0.4 m is subjected to a bending moment…

A: Calculated distance from the top surface where normal stress will be zero.

Q: 200 kN 100 kN/m 100 kN.m 1m 1 1m 2m 3m Figure 1: An overhanging beam For the same beam and loading…

Q: Figure shows a rigid beam ABC which is supported by member BD. Determine i. the reaction force at…

Q: 25. A fiberglass pipe is lifted by a sling, as shown in the figure. The outer diameter of the pipe…

A: Given data as per questionLength of pipe =10 ms=4 md2=100 mmd1=100−12=88 mmweight density =1500…

Q: 5. For the beam shown in the figure, determine the slope at A and B and the value of the maximum…

A: Whenever a beam is subjected to load it tends to bend under loading. This is called deflection of…

Q: Q2(a) A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated.…

A: Given data diameter of beam (d) = 200 mm To determine (a) support reactions (b) Maximum…

Q: A simply supported prismatic beam carries a concentrated downward load of 12 kN, as shown in the…

A: Given data F=12 kNa=2 mb=3 mL=5 m

Q: Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3…

A: given; lets take reaction force at A & D is RA & RDAB=L/3BC=L/3CD=L/3 load…

Q: Question 1) In the beam whose loading condition is given in the figure, F force F= 79 kN, w1…

Q: A uniformly distributed load of 226 Ib/ft is carried by a simply supported beam span. The beam is a…

A: Given data :- b =4.8 in h=5.7 in t =2.6 in

Q: wooden beam AB supporting two concentrated loads P has a rectangular cross section of width b = 100…

Q: A cantilever beam with rectangular cross section is loaded as shown in figure. Plot the maximum…

A: given; load=Pwidth=bheight=hlength=L

Q: The simple beam AB shown in the figure is subjected to a concentrated load P and a clockwise couple…

A: Shear force is defined as the algebraic sum of all vertical forces acting on a segment from the left…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

The Cantilever beam ABC in figure below (a) consist of two segment AB and 21, for segment
BC. Segment AB caries a uniformly distributed load of intensity 200 lb/ft. Using E = 10 x
10°psi and I, = 40 in*, determine the maximum displacement of the beam.
200 lb/ft
B
C
210
4 ft
6 ft

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
A hollow box beam with height h = 16 in,, width h = 8 in,, and constant wall thickness r = 0.75 LiL is shown in the figure. The beam is constructed of steel with yield stress ty = 32 ksi. Determine the yield moment My, plastic moment A/p, and shape factor.
The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.
A hollow box beam with height h = 9.5 in., inside height/i, = 8.0 in., width? = 5,25 in., and inside width =4.5 in. is shown in the figure. Assuming that the beam is constructed of steel with yield stress ty= 42 ksi calculate the yield moment My, plastic moment MPand shape factor f.
The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following formula for the distance /h from the centerline of one flange to the shear center S: h1t2b23ht1b13+t2b23 Also, check the formula for the special cases of a T-beam (b2= t2=0) and a balanced wide-flange beam (t2= ttand b2= ty).
A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A tapered cantilever beam A B supports a concentrated load P at the free end (see figure). The cross sections of the beam are rectangular with constant width A, depth d Aat support A, and depth ds= ^dJ2 at the support. Thus, the depth d and moment of inertia / at distance x from the free end are, respectively, in which / 4 is the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection S 4at the free end of the beam due to the load P.
A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity 4, and minimum intensity q/2tthat includes the weight of the beam (see figure). The beam is a steel W 12 × 14 wide-flange shape (see Table F-l(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress eallow = 18 ksi and (b) an allowable shear stress eallow = 7,5 ksi. Note: Obtain the moment of inertia and section modulus of the beam from Table F-l(a).
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?
A tapered cantilever beam AB supports a concentrated load P at the free end (see figure). The cross sections of the beam are rectangular tubes with constant width b, outer Tube depth dAat A, and outer tube depth dB— ldA/2 at support B. The tube thickness is constant, as t = dA/20. IAis the moment of inertia of the outer tube at end A of the beam. If the moment of inertia of the tube is approximated as la{x) as defined, find the equation of the deflection curve and the deflection 5^ at the free end of the beam due to the load P.
A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C(see figure). The load has a peak intensity q0= 10 lb/ ft, and the deflection is known to be 0.01 in, at point C. The length of the beam is 12 ft, and the ratio of the height to the width of the cross section is (h:b) 2:1, Find the height h; and width h of the cross section of the beam.